Lagrange Interpolating Polynomial ProblemSuppose that the Lagrange polynomial passesthrough the data points (2, 9), (4, 11) and (5, 13)is given by f(x)=L₁(x)yı + L₂(x) y2 +L3(x) y3.What is the value of L₁ (x) at x = 3?a. 3b. -3c. 1/3d. -1/3

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 58E

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Lagrange Interpolating Polynomial Problem Suppose that the Lagrange polynomial passes through the data points (2, 9), (4, 11) and (5, 13) is given by f(x) = L₁(x)yı + L₂(x) y2 + L3(x) y3. What is the value of L₁ (x) at x = 3? a. 3 b. -3 c. 1/3 d. -1/3